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Chapter 9 Rational Numbers Ex 9.1 Solutions

Question - 1 : -
List five rational numbers between:
(i) − 1 and 0 (ii) − 2 and − 1
(iii)   (iv)  

Answer - 1 : -

(i) −1 and 0
 
(ii) −2 and −1
 
Five rational numbers are
 
(iii)  
 
Five rational numbers are
 
(iv)  
 
Five rational numbers are
 

Question - 2 : - Write four more rational numbers in each of the following patterns:

Answer - 2 : -


Question - 3 : - Give four rational numbers equivalent to:

Answer - 3 : -


Question - 4 : -
Draw the number line and represent the following rational numbers on it:
(i)   (ii)  
(iii)   (iv)  

Answer - 4 : -


Question - 5 : -
The points P, Q, R, S, T, U, A and B on the number line are such that,
TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
 

Answer - 5 : -

Distance between U and T = 1 unit
It is divided into 3 equal parts.
TR = RS = SU = 
R =  
S =  
Similarly,
AB = 1 unit
It is divided into 3 equal parts.
P =  
Q =  

Question - 6 : - Which of the following pairs represent the same rational number?

Answer - 6 : -


Question - 7 : -
Rewrite the following rational numbers in the simplest form:
(i)   (ii)  
(iii)   (iv)  

Answer - 7 : -

(i)  
(ii)  
(iii)  
(iv)  

Question - 8 : - Fill in the boxes with the correct symbol out of >, < and =.

Answer - 8 : -


Question - 9 : - Which is greater in each of the following:

Answer - 9 : -


Question - 10 : -
Write the following rational numbers in ascending order:
(i)   (ii)    (iii)  

Answer - 10 : -

(i)  
As −3 < −2 < −1,
 
(ii)  
By converting these into like fractions,
 
As −12 < −3 < −2,
 
(iii)  
By converting these into like fractions,
 
As −42 < −21 < −12,
 

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